Can proton mass be measured without assuming inertia?

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SUMMARY

Direct gravitational measurements of subatomic particles, specifically protons, are currently deemed impossible. The mass of the proton is traditionally determined indirectly, such as through the bending of charged proton beams in magnetic fields. The discussion raises the potential of using a box of hydrogen to measure proton mass, suggesting that the ability to gather neutrons without scattering may provide a viable method. However, the feasibility of this approach remains unverified.

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bubsir
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Direct gravitational measurements of subatomic particles seems impossible. Has it been done/tried? The mass of the proton as I know it is always "indirectly" determined by (for example) bending a beam of charged protons in a magnetic field.
 
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It's been done with neutrons.

But what's wrong with using a box of hydrogen?
 
Could that be because you can gather a large number of neutrons together without them scattering in all directions before you can measure them?
Hydrogen - yes, why not? Or any other atom, for that matter.
 

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